Question

A motorist complete the joumey between X and Y at a constant speed of 40 kmph and covers the return journey
from Y to X at a constant speed of 20 kmoh. If the distance from X to Y is 80 km then the average speed is.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The average speed of the motorist = $26\frac{3}{20}$ km/hour

Step-by-step explanation:

Given,

The speed of the motorist from X to Y is 40km/h

The speed of the motorist from Y to X is 20km/h

The distance between X and Y = 80km

To find,

The average speed of the motorist

Recall the formula

Distance  = Speed  × time

Average speed = $\frac{Total \ distance \ traveled }{Total \ time \ taken}$

Solution:

Since the distance between X and Y is 80km, the total distance traveled = 80+80 = 160km

Since the speed of the motorist is 40km/h from X to Y, then the time taken to travel from X to Y is

80 = 40 × time

time  =  2hours

Time taken to travel from X to Y = 2 hours

Since the speed of the motorist is 20km/h from Y to X, then the time taken to travel from Y to X is

80 = 20 × time

time = 4hours

Time taken to travel from Y to X = 4 hours

Total time taken = 2+4 =  6 hours

Average speed= $\frac{Total \ distance \ traveled }{Total \ time \ taken}$

= $\frac{160}{6}$

= $26\frac{3}{20}$

The average speed of the motorist = $26\frac{3}{20}$ km/hour

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